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## Homework Statement

Mercury is added to a cylindrical container to a depth

*d*and then the rest of the cylinder is filled with water. If the cylinder is 0.8 m tall and the pressure at the bottom is 1.3 atmospheres, determine the depth of the

*mercury*. (Assume the density of mercury to be 1.36

## Homework Equations

P

_{total}=P

_{atmosphere}+P

_{water}+P

_{mercury}

P=density x g x height

1 atmosphere=1.013e

^{5}Pa

density of water=1 x 10

^{3}kg/m

^{3}

pressure of atmosphere=1 atm

## The Attempt at a Solution

I first subtracted out the pressure of the atmosphere, so

.3 atm=P

_{water}+ P

_{mercury}

.8m=H

_{water}+ H

_{mercury}

P

_{mercury}=1.36 x 10

^{4}x 9.8 x H

_{mercury}

P

_{water}=1 x 10

^{3}x 9.8 x H

_{water}

I am having difficulty putting all 4 of these equations together. I feel like there is substitution needed, but which equations should I use?